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Finding the Third Proportional to 341,304 and 459,463

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Solution

The third proportional to 341,304 and 459,463 is: 618,528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,304 : 459,463 = 459,463 : x
  2. Step 2: Convert to fraction form
    341,304/459,463 = 459,463/x
  3. Step 3: Cross multiply
    341,304x = 459,463 × 459,463
  4. Step 4: Simplify right side
    341,304x = 211,106,248,369
  5. Step 5: Solve for x
    x = 211,106,248,369/341,304
  6. Step 6: Final answer
    x = 618,528.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.